Question

Из квадрата со стороной 100 см вырезали квадрат со стороной 80 см оставшуюся часть разрезали на квадратики со стороной 1 см и сложили из них новый квадрат найти сторону второго квадрата За ранее спасибо

Answer 1

Площадь квадрата 1 = 100*100=10000 квадратиков. площадь вырезанного=80*80=6400. площадь оставшегося куска 3600 квадратиков. в итоге , т.к. 

Answer 2

Problem Analysis

We are given a square with a side length of 100 cm. From this square, a smaller square with a side length of 80 cm is cut out. The remaining piece is then cut into smaller squares with a side length of 1 cm. We need to find the side length of the new square formed by arranging these smaller squares.

Solution

To find the side length of the new square, we need to determine the number of smaller squares that can fit in the remaining piece.

The remaining piece is a rectangle with dimensions 100 cm (original square side length) - 80 cm (cut-out square side length) = 20 cm by 100 cm.

To find the number of smaller squares that can fit in the remaining piece, we divide the length and width of the remaining piece by the side length of the smaller squares.

The number of smaller squares that can fit in the length of the remaining piece is 20 cm / 1 cm = 20 squares.

The number of smaller squares that can fit in the width of the remaining piece is 100 cm / 1 cm = 100 squares.

Therefore, the total number of smaller squares that can fit in the remaining piece is 20 squares * 100 squares = 2000 squares.

Since the new square is formed by arranging these smaller squares, the side length of the new square is the square root of the total number of smaller squares.

Taking the square root of 2000, we find that the side length of the new square is approximately 44.72 cm.

Answer

The side length of the new square formed by arranging the smaller squares is approximately 44.72 cm.